Question

in what condition AB=BA=A​

Answer 1

Answer:

Here are some choices for A that commutes with B in order of increasing complexity.

A=I then AB=BA,

A=B then AB=BA

A=Bn then AB=BA

A=polynomial(B) then AB=BA

If B is invertible and A=B−n then AB=BA

If B is invertible and A=polynomial(B,B−1) then AB=BA

It was noted in the comments that the problem on when two matrices A and B commutes has been answered before, but I decided to give the short answer anyway. The version of this problem that I am familiar is when A and B are symmetric, diagonalizable matrices. The diagonalizable case was discussed in the other problem and gives a superset of the examples I gave. When the two matrices are simultaneously diagonalizable then the matrices commute. i.e. if A=PΛP⊤, B=PΣP⊤ with P an orthogonal matrix and Σ, Λ diagonal matrices then AB=BA. The examples in the list above are in fact valid even when the matrices are not diagonalizable

Answer 2

Answer:

value nahi hai

1. A is 5
2. B is 6
3. okay
4. then , AB =5+6
5. =9
6. BA =6+5
7. =9

you put the value AandB

and Do it

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